14256840000 has 840 divisors, whose sum is σ = 55179711840. Its totient is φ = 3234816000.

The previous prime is 14256839977. The next prime is 14256840047. The reversal of 14256840000 is 4865241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 14256840000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 385319982 + ... + 385320018.

Almost surely, 2^14256840000 is an apocalyptic number.

14256840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14256840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27589855920).

14256840000 is an abundant number, since it is smaller than the sum of its proper divisors (40922871840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14256840000 is a wasteful number, since it uses less digits than its factorization.

14256840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 14256840000 in words is "fourteen billion, two hundred fifty-six million, eight hundred forty thousand".